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3 years ago

What are the values of the three trigonometric ratios for angle L, in simplest form?

Mathematics

2 answers:

Oxana [17]3 years ago

7 0

The correct answer's are:

sin(L) = 4/5

cos(L) = 3/5

tan(L) = 4/3

viva [34]3 years ago

6 0

Answer:

4/5, 3/5, 4/3

Step-by-step explanation:

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Solve the following using the Substitution Method your work must be shown step by step: x + 2y = 2

Nat2105 [25]

Answer:

x = - 2

y = 2

Step-by-step explanation:

y = - 2 + 4

y = 2

- 2 + 2(2) = 2

- 2 + 4 = 2

8 0

2 years ago

200 kg of brass is melted down and cast into ornamental frogs, each weight 3/20kg. How many frogs are made?

Savatey [412]

Answer:

1,333 frogs

Step-by-step explanation:

okay so we know that mass remains conserved no matter where you are.

same here ^^

if the total mass of brass is 200 kg

the total mass of the new frogs formed from it when put together will be the same :)

and if there were n such frogs formed

we have,

total mass = n × mass of each frog

200 = n × 3/ 20

n = 4000/ 3

so it becomes something like 1,333.33

that is nearly 1,333 frogs can be made out of 200 kg of brass each weighing 3/ 20kg (the last ones a bit less to make upto 200kg)

5 0

3 years ago

Let f ( x ) = 2 x − 1 , g ( x ) = 3 x , and h ( x ) = x ^2 + 1 , what is h( h ( 5) ) ?

strojnjashka [21]

First you would solve for h(5) by plugging in 5 as your x, then solving it.

h(5) = 5^2 + 1
h(5) = 25 + 1
h(5) = 26

Next you would multiply the 26 by the individual h, which is basically h(1).

h(1) = 1^2 + 1
h(1) = 2

Lastly you multiply your h(1) value by the h(5) value to get your answer.

h(1) • h(5) = 26 • 2
h[h(5)] = 52

7 0

3 years ago

Dinosaur fossils are often dated by using an element other than carbon, like potassium-40, that has a longer half life (in this

Firlakuza [10]

The amount of substance left of a radioactive element of half life, $t_{\frac{1}{2}}$ after a time, t, is given by:

$N(t)=N_0\left( \frac{1}{2} \right)^ \frac{t}{t_{ \frac{1}{2} }}$

Given that <span>potassium-40 has a half life of approximately 1.25 billion years.

The number of years it will take for 0.1% of potassium-40 to remain is obtained as follows:

$0.1=100\left( \frac{1}{2} \right)^ \frac{t}{1.25}} \\ \\ \Rightarrow\left( \frac{1}{2} \right)^ \frac{t}{1.25}}=0.001 \\ \\ \Rightarrow\frac{t}{1.25}\ln\left( \frac{1}{2} \right)=\ln(0.001) \\ \\ \Rightarrow \frac{t}{1.25}= \frac{\ln(0.001)}{\ln\left( \frac{1}{2} \right)} =9.966 \\ \\ t=9.966(1.25)=12.5$

Therefore, </span><span>the maximum age of a fossil that we could date using 40k is 12.5 billion years.</span>

3 0

3 years ago

Can anyone please help me with this???

ira [324]

Answer:

x=8a

Step-by-step explanation:

(3/a) x - 4 = 20

add 4 to both sides

(3/a) x = 24

Divide by 3/a

x = 24 / (3/a)

Use KCF (keep change flip)

x = (24/1) x (a/3)

x = 24a / 3

simplify

x = 8a

3 0

3 years ago